Exam 6: Propositional Logic

Proposition 1I Given the following proposition: [(B ≡ ∼ Y) • ∼(∼ X ⊃ A)] ∨ [∼(X ≡ A) ⊃ (Y • ∼ A)] -Given that A and B are true and X and Y are false, determine the truth value of Proposition 1I.

United lowers fares if and only if both JetBlue buys planes and Delta advertises a sale, provided that American hires pilots.

∼G ⊃ K

Proposition 1G Given the following proposition: [(A ≡ X) ∨ (Y ⊃ ∼ B)] ⊃ ∼[(X ∨ B) • (A • Y)] -Given that A and B are true and X and Y are false, determine the truth value of Proposition 1G.

Given the pair of statements: W ⊃ (J • ∼ M) and (J ∨ ∼ W) • ∼ (M • W) These statements are:

Given the argument: K ∨ B / K ≡ (D ∨ ∼ B) // K ⊃ D This argument is:

∼L ⊃ F

If Chrysler increases sales, then it is not the case that both Mercedes introduces a new model and Nissan lays off workers.

Given the argument: R ⊃ (H • ∼N) / (H • ∼B) ⊃ (N ∨ ∼P) / K ⊃ (G • P) // (K • R) ⊃ B This argument is:

The truth table for Statement 3D has how many lines?

In the expression 'P • Q', 'P' is called:

Regent's enlarging its casinos is a necessary condition for Disney's offering games if and only if Windstar's diversifying its activities is a sufficient condition for Costa's enlarging its nightspots.

Budget's lowering rates implies that Hertz runs a sale, only if Avis does not buy new cars.

Given the pair of statements: N ∨ (E • ∼ H) and (H • ∼ N) ∨ ∼ (E ∨ N) These statements are:

Proposition 2C Given the following proposition: ∼[(A ≡ ∼ Y) • (B ⊃ X)] • [(B ∨ ∼ X) • (X ≡ A)] -In Proposition 2C, the main operator is a:

Either Chrysler's increasing sales is a necessary condition for Toyota's closing a factory or Nissan's laying off workers is a sufficient condition for Honda's reducing inventory.

Given the argument: J ⊃ (E • Q) / ∼ Q ⊃ L / (E ∨ M) ⊃ (L ∨ ∼ Q) / M ∨ J // L This argument is:

S ⊃ ∼R

If rainfall is normal, then grain reserves will not be tapped, because if the harvest is not abundant, then grain reserves will be tapped, and if rainfall is normal, then the harvest will be abundant.

JetBlue buys planes if Delta advertises a sale, and Frontier improves service only if Southwest expands routes.